Generating functions for the area below some lattice paths

We study some lattice paths related to the concept ofgenerating trees. When the matrix associated to this kind of trees is a Riordan array $D=(d(t),h(t))$, we are able to find the generating function for the total area below these paths expressed in terms of the functions $d(t)$ and $h(t)$

Generating functions for the area below some lattice paths

We study some lattice paths related to the concept of generating trees. When the matrix associated to this kind of trees is a Riordan array D   ¡ d ¡ t¢¤ £ h ¡ t¢¥ ¢ , we are able to find the generating function for the total area below these paths expressed in terms of the functions d ¡ t ¢ and h ¡ t¢¤